Abstract
Linear time-invariant (LTI) dynamic networks are described by their dynamical structure function, and generally, they have many possible state space realizations. This work characterizes the necessary and sufficient conditions on a state transformation that preserves the dynamical structure function, thereby generating the entire set of realizations of a given order for a specific dynamic network.
Degree
MS
College and Department
Physical and Mathematical Sciences; Computer Science
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Leung, Chi Ho, "Necessary and Sufficient Conditions on State Transformations That Preserve the Causal Structure of LTI Dynamical Networks" (2019). Theses and Dissertations. 7470.
https://scholarsarchive.byu.edu/etd/7470
Date Submitted
2019-05-01
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd12192
Keywords
linear systems, state-space methods, necessary conditions, sufficient conditions, state transformation, causal structure, LTI dynamical networks, linear time-invariant dynamic networks, dynamical structure function, specific dynamic network, state space realizations, Computational modeling, Mathematical model, Aerospace electronics, Transfer functions, Linear systems, Structural engineering, Heuristic algorithms
Language
english